Homothetic Self-Similar Solutions of the Three-Dimensional Brans-Dicke Gravity
G.A. Benesh, Anzhong Wang

TL;DR
This paper derives all homothetic self-similar solutions for the Brans-Dicke scalar field in three-dimensional spacetime with circular symmetry, providing a comprehensive classification of such solutions.
Contribution
It presents a complete classification of homothetic self-similar solutions in 3D Brans-Dicke gravity, which was previously unexplored.
Findings
All solutions are obtained in closed form.
The solutions encompass various physically relevant cases.
The classification aids understanding of scalar-tensor gravity models.
Abstract
All homothetic self-similar solutions of the Brans-Dicke scalar field in three-dimensional spacetime with circular symmetry are found in closed form.
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